Re: I need help with the following question. Thank you!

You ask about "filling up" a phone booth, but don't mention how hight the ceiling is. So perhaps what you meant to ask is "how many coins does it take to cover the floor." To figure that you need to think about how the coins are arranged. So first - how many coins can fit in the first row? Then for the second row - should the coins be lined up in a square array, so that the coins of the 2nd row are in line with the coins in the first row? Or should the second row be shifted to line up between the coins of the first row - this is a tighter packing method that alloys you to squeeze in more coins. You'll have to check whether a complete row of coins will fit in that shifted manner, then figure out the center-to-center spacing of one row to the next, and from that determine how many rows of coins will fit on the floor of the booth. Try it, and let us know what you find.

Re: I need help with the following question. Thank you!

You cannot cover the floor of the phone both with quarters because you cannot "tile" the rectangle with circles. The best you can do is treat a single stack of quarters as a square object with sides .955 inches long and so area square inches. Divide the 1024 square inch area of the floor by that to see how many stacks of quarters you can have. And divide the height of the phone booth by .069 to find how many quarters there would be in each stack. Since the number of stacks and the number of quarters in a stack must be integers, drop any fractional part (do NOT round up).